List of top Solid Mechanics Questions on Elastic constants asked in GATE XE

For a certain linear elastic isotropic material, the Young’s modulus is \(E = 140 \, GPa\) and the shear modulus is \(G = 50 \, GPa\). The Poisson’s ratio for the material is .............. (rounded off up to two decimal places).

A simply supported beam of length 3 m is loaded as shown in the figure. The magnitude of the shear force (in kN) at the mid-point of the beam is ............ (rounded off to one decimal place).

If the ratio of Young's modulus to bulk modulus of a material is \( \frac{3}{2} \), then the ratio of shear modulus to the Young's modulus of the material is